GALOIS THEORY

Matematica GALOIS THEORY

0512300021
DIPARTIMENTO DI MATEMATICA
MATHEMATICS
2015/2016

YEAR OF COURSE 3
YEAR OF DIDACTIC SYSTEM 2010
SECONDO SEMESTRE
CFUHOURSACTIVITY
648LESSONS
Objectives
THE COURSE AIMS TO PROVIDE BASIC KNOWLEDGE ON THE STUDY OF ALGEBRAIC EQUATIONS
Prerequisites
IT IS DESIDERABLE THAT THE STUDENT ALREADY HAS AN ADEQUATE KNOWLEDGE OF BASIC ALGEBRA
Contents
ROOTS OF POLYNOMIALS. IRIIDUCIBILITY CRITERIONS. SEPARABLE EXTENSIONSS. NORMAL EXTENSIONS. GALOIS EXTENSIONS. GALOIS GROUP- RADICAL EXTENSIONS
Teaching Methods
THIS COURSE CONSISTS ON THEORETICAL LESSONS AND EXERCITATIVE LESSONS. DURING THEORETICAL LESSONS STUDENTS LEARN BASIC NOTIONS AND SEVERAL TECHNIQUES TO PROVE RESULTS. DURING EXERCITATIVE LESSONS STUDENT LEARN HOW THE GAINED THEORETICAL KNOWLEDGE MAY BE USED IN DIFFERENT CONTEXTS.

Verification of learning
THE EXAM CONSISTS OF AN ORAL EXAMINATION.
Texts
NOTES ON ALGEBRAIC EQUATIONS ( WRITTEN BY G. VINCENZI)
More Information
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